Los Angeles isn't generally famous for its innovative urban design. But there have been many attempts to transform the city into a modern metropolis through visionary architecture and transportation projects. In their exhibition Never Built: Los Angeles, the Architecture and Design Museum is showing off the coolest of what LA could have become.

Frank Lloyd Wright Huntington Hartford Sports Club, 1947

Photo: Courtesy Frank Lloyd Wright Foundation

B+U Downey Office Building, 2009

Photo: Courtesy B+U Architects

Goodell Monorail, 1963

This monorail system would have carried passengers between downtown and LAX.Photo: Courtesy Los Angeles County Metropolitan Transportation Authority Research Library and Archive

John Lautner Griffith Park Nature Center 1972

Photo: Courtesy Getty Research Institute

KiribatiKelker & DeLeuw Subway Plan, 1925

Early plans for LA's subway system featured extensive coverage throughout the city—a far cry from the limited routes of today. In the end, it was money and politics that dictated what was eventually built.Photo: Courtesy Los Angeles County Metropolitan Transportation Authority Research Library and Archive

Lloyd Wright Civic Center Plan, 1925

Photo: Courtesy Eric Lloyd Wright

OMA LACMA proposal, 2001

The LA County Museum of Art considered this ambitious proposal with a huge canopy roof. Ultimately, the board voted for a more conservative proposal.Photo: Courtesy OMA

Pereira and Luckman, LAX original Plan, 1952

An original plan for LAX had a glass dome covering the entire airport. Apparently, there was also talk of building it on an island off of Santa Monica.Photo: Courtesy LAWA Flight Path Learning Center

Santa Monica Offshore Freeway, 1965

LA's heavy traffic forced planners to consider radical measures like this off-shore highway in Santa Monica. It was scrapped—to the delight of beach-goers.Photo: courtesy City of Santa Monica

William H. Evans, Tower Of Civilization, 1939

This 1300 ft tower built with magnesium was proposed for the 1939 World's Fair.Photo: courtesy Huntington LIbrary